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The algebraic characterization of geometric 4-manifolds /
This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
1994.
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| Colección: | London Mathematical Society lecture note series ;
198. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; I Algebraic Preliminaries; 1. Group theoretic notation and terminology; 2. Elementary amenable groups and Hirsch length; 3. Modules and finiteness conditions; 4. The SIBN property and safe extensions of group rings; 5. Ends and cohomology with free coefficients; II General results on the homotopy type of 4-manifolds; 1. Equivariant (co)homology and Poincare duality; 2. Homotopy types.; 3. Finitely dominated covering spaces.; 4. Spherical universal covering spaces; 5. Minimizing the Euler characteristic; III Mapping tori and circle bundles
- 3. Mapping tori of self homeomorphisms of E3-manifolds4. Mapping tori of self homeomorphisms of Nil3-manifolds; 5. Mapping tori of self homeomorphisms of Sol3-manifolds; 6. Other aspherical product geometries; 7. Semisimple geometries; VII Manifolds covered by S2 x R2; 1. Virtually geometric manifolds; 2. Fundamental groups of S2 x E2-manifolds; 3. The homotopy type; 4. Some remarks on the homeomorphism types; VIII Manifolds covered by S3 x R; 1. Covering spaces; 2. The maximal finite normal subgroup; 3. Extensions of D; 4. Realization of the groups; IX Geometries with compact models